How Many Possible Permutaions Are There In The Letters Of The Word Philippines

How many possible permutaions are there in the letters of the word PHILIPPINES

 

Answer:

There are 1,108,800 possible permutations.

Step-by-step explanation:

Step 1: Count the number of letters the PHILIPPINES have

  1. PHILIPPINES consists of 11 letters in total

Step 2: Identify the distinct letters and determine how many of it is present in the given word

  1. P- 3
  2. H- 1
  3. I- 3
  4. L-1
  5. N-1
  6. E-1
  7. S-1

Step 3: Solve for the total number of distinct arrangements

  1. total number of letters= 11
  2. total number of distict arrangements= \frac{11!}{3!*1!*3!*1!*1!*1!*1!}
  3. total number of distinct arrangements=1,108,800

Note: The sum of the numbers listed in the denominator should be equal to the numerator.


Therefore, the total number of distinct arrangements for the PHILIPPINES is 1,108,800.


For other practice problems and references, please refer to the following links:

brainly.ph/question/1253023

brainly.ph/question/2032105

brainly.ph/question/1250156


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